87782400 has 264 divisors, whose sum is σ = 324899840. Its totient is φ = 23224320.

The previous prime is 87782371. The next prime is 87782411. The reversal of 87782400 is 428778.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691137 + ... + 691263.

Almost surely, 2^87782400 is an apocalyptic number.

87782400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162449920).

87782400 is an abundant number, since it is smaller than the sum of its proper divisors (237117440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87782400 is a wasteful number, since it uses less digits than its factorization.

87782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 87782400 is about 9369.2262220527. The cubic root of 87782400 is about 444.4290957662.

The spelling of 87782400 in words is "eighty-seven million, seven hundred eighty-two thousand, four hundred".